Results 11 to 20 of about 14,850 (259)
Universality in chaos: Lyapunov spectrum and random matrix theory [PDF]
Physical Review E, 2018 5 pages + supplementary materials. v2: minor corrections, references added. v3: a lot more evidence added. v4: the version appeared in Phys.
Hanada, Masanori +2 more
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Resultants and Lyapunov matrix equations
Linear Algebra and its Applications, 1989 AbstractLet B and Q be real n × n matrices. It is well known that the discrete Lyapunov matrix equation Y − BTYB = Q has a unique solution Y if and only if the resultant R(g(x), xng(1/x)) is nonzero, where g(x) is the characteristic polynomial of B. Here, by reducing the underlying matrix, we obtain the factorization R(g(x), xng(1x)) = sntn(det Θ)2 ...
Norman, C.W.
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ON Ψ-INSTABILITY OF NON-LINEAR MATRIX LYAPUNOV SYSTEMS
Demonstratio Mathematica, 2009 AbstractWe prove necessary and sufficient conditions for Ψ-instability of trivial solutions of linear matrix Lyapunov systems and also sufficient conditions for Ψ-instability of trivial solutions of non-linear matrix Lyapunov systems.
Murty, M. S. N. +3 more
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State Estimation for Standard Neural Network Models with Time-Varying Delays
Complexity, 2022 The paper deals with the issue of state estimation for standard neural network models with time-varying delays. A new augmented vector with the derivative of the state is introduced in the Lyapunov–Krasovskii functional. The state estimation criteria are
Jin Zhu, Tai-Fang Li, Huanqing Wang
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Journal of Inequalities and Applications, 2019 The Lyapunov matrix differential equation plays an important role in many scientific and engineering fields. In this paper, we first give a class relation between the eigenvalue of functional matrix derivative and the derivative of functional matrix ...
Jianzhou Liu, Juan Zhang, Hao Huang
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KRYLOV SUBSPACE METHODS FOR SOLVING LARGE LYAPUNOV EQUATIONS [PDF]
, 1994 Published ...
KASENALLY, EM, JAIMOUKHA, IM
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Bound on Lyapunov exponent in $$c=1$$ c=1 matrix model
European Physical Journal C: Particles and Fields, 2020 Classical particle motions in an inverse harmonic potential show the exponential sensitivity to initial conditions, where the Lyapunov exponent $$\lambda _L$$ λL is uniquely fixed by the shape of the potential. Hence, if we naively apply the bound on the
Takeshi Morita
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Nonexistence of Lyapunov exponents for matrix cocycles [PDF]
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2017 It follows from Oseledec Multiplicative Ergodic Theorem that the Lyapunov-irregular set of points for which the Oseledec averages of a given continuous cocycle diverge has zero measure with respect to any invariant probability measure. In strong contrast, for any dynamical system $f:X\rightarrow X$ with exponential specification property and a H$\ddot{\
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The stability analysis of systems with nonlinear feedback expressed by a quadratic program [PDF]
, 2006 We consider the stability of the feedback connection of a stable linear time invariant (LTI) plant with a static nonlinearity expressed by a certain class of quadratic program (QP).
Lennox, B +5 more
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Lyapunov matrices approach to the parametric optimization of a neutral system
Archives of Control Sciences, 2016 In the paper a Lyapunov matrices approach to the parametric optimization problem of a neutral system with a P-controller is presented. The value of integral quadratic performance index of quality is equal to the value of Lyapunov functional for the ...
Duda Jozef
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